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Finding the Third Proportional to 46,237 and 99,845

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Solution

The third proportional to 46,237 and 99,845 is: 215,607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,237 : 99,845 = 99,845 : x
  2. Step 2: Convert to fraction form
    46,237/99,845 = 99,845/x
  3. Step 3: Cross multiply
    46,237x = 99,845 × 99,845
  4. Step 4: Simplify right side
    46,237x = 9,969,024,025
  5. Step 5: Solve for x
    x = 9,969,024,025/46,237
  6. Step 6: Final answer
    x = 215,607.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.